Convergence of Perturbation Expansions in Fermionic Models. Part 1: Nonperturbative Bounds

被引：0
|
作者：
Joel Feldman
Horst Knörrer
Eugene Trubowitz
机构：
[1] University of British Columbia,Department of Mathematics
[2] ETH-Zentrum,Mathematik
来源：
Communications in Mathematical Physics | 2004年 / 247卷
关键词：
Operator Norm; Renormalization Group; Abstract Estimate; Perturbation Expansion; Fermionic Model;
D O I：
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摘要：
An estimate on the operator norm of an abstract fermionic renormalization group map is derived. This abstract estimate is applied in another paper to construct the thermodynamic Green’s functions of a two dimensional, weakly coupled fermion gas with an asymmetric Fermi curve. The estimate derived here is strong enough to control everything but the sum of all quartic contributions to the Green’s functions.
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页码：195 / 242
页数：47
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